Here is the full list of all 60 Jagged Alliance - there are Back in Action achievements.
Miguel Cordona becomes king
Kill Deidranna within 15 days
Throw 100 grenades
Plant a mine
Recruit Miguel
Help Fatima and her children
Stop Dr. Pippin's evil scheme
Liberate Meduna City
Recruit Dimitri
Recruit Dr. Vince
Fire a total of 5000 bullets
Kill a total of 1000 enemies
Use either smoke, stun, frag and teargas grenades at least once
Recruit Carlos
Recruit Hamous
Liberate Grumm City
Recruit Iggy
Liberate San Mona
Recruit Maddog
Help Richie "The Wizard" Parker find a limited edition of DaHonko Flakes!
Liberate Balime City
Destroy a tank with the rocket launcher
Recruit Devin
Recruit Conrad
Recruit Shank
Open 10 doors with the crowbar
Kill an enemy with a frag grenade
Defuse a mine
Liberate Alma City
Pick 10 locks
Liberate Cambria City
Restore 1000 health
Recruit a local for the militia
Use explosives to blast a hole into a wall
Restore 1000 durability on weapons
Hire a total of 6 mercs
Recruit Ira
Rescue a merc from dying
Loot over 1000$ across several playthroughs
A single merc received over 100 damage in a single encounter without dying
Secure Drassen Airport
Kill an enemy with a melee attack
Kill 100 enemies with melee attacks
Blast through 100 walls
Kill an enemy with a mine you planted
Plant 100 mines
Loot over 100000$ across several playthroughs
Kill Deidranna
Buy goods for 1,000,000$ in the online shop
Recruit 100 locals for the militia across several playthroughs
Kill Deidranna in tactical mode
Kill Deidranna in high difficulty mode
Kill Rygor Manson and save John Gaiden
Find the two dropped crates containing the equipment
Recruit Jamirez
Kill all five agents who have the missile launchers
Defeat Silevic and stop the missile launch!
Free Fox from captivity!
Find the dropped crates containing the equipment
Kill 10 enemies using the knife